{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']  # 用来正常显示中文标签\n",
    "plt.rcParams['axes.unicode_minus'] = False  # 用来正常显示负号"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.patches import Ellipse\n",
    "import matplotlib.transforms as transforms\n",
    "\n",
    "def confidence_ellipse(x, y, ax, n_std=3.0, facecolor='none', **kwargs):\n",
    "    \"\"\"\n",
    "    此函数绘制给定数组类变量 x 和 y 的协方差的置信椭圆。\n",
    "    椭圆将绘制到给定的轴对象 ax 中。椭圆的半径可由 n_std 控制，\n",
    "    n_std 是标准差的个数。 默认值为 3，如果数据呈正态分布，\n",
    "    则椭圆会包含 98.9% 的点（3 个标准差在一维中包含 99.7% 的数据，\n",
    "    在二维中包含 98.9% 的数据）。\n",
    "\n",
    "    分析两个随机变量的相关关系，数组中的元素为随机变量的不同取值\n",
    "    Parameters\n",
    "    ----------\n",
    "    x, y : array-like, shape (n, )\n",
    "        Input data.\n",
    "\n",
    "    ax : matplotlib.axes.Axes\n",
    "        The Axes object to draw the ellipse into.\n",
    "\n",
    "    n_std : float\n",
    "        The number of standard deviations to determine the ellipse's radiuses.\n",
    "        标准差个数\n",
    "\n",
    "    **kwargs\n",
    "        Forwarded to `~matplotlib.patches.Ellipse`\n",
    "\n",
    "    Returns\n",
    "    -------\n",
    "    matplotlib.patches.Ellipse\n",
    "    \"\"\"\n",
    "    if x.size != y.size:\n",
    "        raise ValueError(\"x and y must be the same size\")\n",
    "\n",
    "    cov = np.cov(x, y)\n",
    "    pearson = cov[0, 1]/np.sqrt(cov[0, 0] * cov[1, 1])\n",
    "    # Using a special case to obtain the eigenvalues of this\n",
    "    # two-dimensional dataset.\n",
    "    ell_radius_x = np.sqrt(1 + pearson)\n",
    "    ell_radius_y = np.sqrt(1 - pearson)\n",
    "    ellipse = Ellipse((0, 0), width=ell_radius_x * 2, height=ell_radius_y * 2,\n",
    "                      facecolor=facecolor, **kwargs)\n",
    "\n",
    "    # Calculating the standard deviation of x from\n",
    "    # the squareroot of the variance and multiplying\n",
    "    # with the given number of standard deviations.\n",
    "    scale_x = np.sqrt(cov[0, 0]) * n_std\n",
    "    mean_x = np.mean(x)\n",
    "\n",
    "    # calculating the standard deviation of y ...\n",
    "    scale_y = np.sqrt(cov[1, 1]) * n_std\n",
    "    mean_y = np.mean(y)\n",
    "\n",
    "    transf = transforms.Affine2D() \\\n",
    "        .rotate_deg(45) \\\n",
    "        .scale(scale_x, scale_y) \\\n",
    "        .translate(mean_x, mean_y)\n",
    "\n",
    "    ellipse.set_transform(transf + ax.transData)\n",
    "    return ax.add_patch(ellipse)\n",
    "\n",
    "def get_correlated_dataset(n, dependency, mu, scale):\n",
    "    latent = np.random.randn(n, 2)\n",
    "    dependent = latent.dot(dependency)\n",
    "    scaled = dependent * scale\n",
    "    scaled_with_offset = scaled + mu\n",
    "    # return x and y of the new, correlated dataset\n",
    "    return scaled_with_offset[:, 0], scaled_with_offset[:, 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x300 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(0)\n",
    "\n",
    "PARAMETERS = {\n",
    "    'Positive correlation': [[0.85, 0.35],\n",
    "                             [0.15, -0.65]],\n",
    "    'Negative correlation': [[0.9, -0.4],\n",
    "                             [0.1, -0.6]],\n",
    "    'Weak correlation': [[1, 0],\n",
    "                         [0, 1]],\n",
    "}\n",
    "\n",
    "mu = 2, 4\n",
    "scale = 3, 5\n",
    "\n",
    "fig, axs = plt.subplots(1, 3, figsize=(9, 3))\n",
    "for ax, (title, dependency) in zip(axs, PARAMETERS.items()):\n",
    "    x, y = get_correlated_dataset(800, dependency, mu, scale)\n",
    "    ax.scatter(x, y, s=0.5)\n",
    "\n",
    "    ax.axvline(c='grey', lw=1)\n",
    "    ax.axhline(c='grey', lw=1)\n",
    "\n",
    "    confidence_ellipse(x, y, ax, edgecolor='red')\n",
    "\n",
    "    ax.scatter(mu[0], mu[1], c='red', s=3)\n",
    "    ax.set_title(title)\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
